Applied Mathematics and Mechanics

, Volume 17, Issue 12, pp 1147–1152

# On the second order wave diffraction in two layer fluids

• Wu Jianhua
• Fang Ying
Article

## Abstract

In this paper, with assumption that the stratified ocean consists of two layer fluids with different densities, the problem of the second order wave diffraction by three dimensional bodies in the stratifed ocean is investigated. With the use of the regular perturbation method, the boundary value problem of the second order multi-chromatic wave scattering potential is firstly formulated, and is based on a weakly radiation condition, a formal solution of this boundary value problem is then found. By using Green theorem and introducing an assisting potential, the integral expressions, which do not explicitly connect with the second order scattering potential, of the second order wave loads are also derived. Our analysis indicates that the effects of the stratification upon the second order difference frequency wave loads on the structures may be significant.

### Key words

wave diffraction and scattering shipbuilding and offshore engineering wave loads nonlinear water waves internal waves

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